Making the transition to formal proof

This study examined the cognitive difficulties that university students experience in learning to do formal mathematical proofs. Two preliminary studies and the main study were conducted in undergraduate mathematics courses at the University of Georgia in 1989. The students in these courses were majoring in mathematics or mathematics education. The data were collected primarily through daily nonparticipant observation of class, tutorial sessions with the students, and interviews with the professor and the students. An inductive analysis of the data revealed three major sources of the students' difficulties: (a) concept understanding, (b) mathematical language and notation, and (c) getting started on a proof. Also, the students' perceptions of mathematics and proof influenced their proof writing. Their difficulties with concept understanding are discussed in terms of a concept-understanding scheme involving concept definitions, concept images, and concept usage. The other major sources of difficulty are discussed in relation to this scheme.This article is based on the author's doctoral dissertation completed in 1990 at the University of Georgia under the direction of Jeremy Kilpatrick.     

Reciprocal Teaching of Comprehension‐fostering and Comprehension‐monitoring Activities with Ten Primary School Girls

Abstract This paper reports an experimental evaluation of a direct instruction procedure in which children are taught and practise activities to both foster and monitor their comprehension while reading. Three different class groups of low comprehenders, Standard 4, Form 1 and Form 2, were serially exposed to 21 days of 20‐25 minutes instruction in four study activities: summarising, questioning, clarifying and predicting. Instruction was by reciprocal teaching whereby the adult tutor and children took turns leading a dialogue centred around the important topics of the instructional text. The design of this study incorporated both with‐subjects multiple baseline and between‐subjects comparisons, the no treatment comparison groups being average and above average comprehending class peers. Daily comprehension assessment on a different text at the same difficulty level as that used for reciprocal teaching and pre and post intervention scores on a reading comprehension test served as the dependent measures for the study. Results show significant increases in accuracy on comprehension tests for all experimental groups upon introduction of the reciprocal teaching procedure. On completion of the intervention two of these groups scores matched those of the above average controls. Follow‐up probes eight weeks later showed that all groups had maintained their comprehension gains.     

Adopting birth philosophies to guide successful birth practices and outcomes

Research studies conducted recently in hospitals located in Switzerland and Canada reveal the importance of birth philosophies in attaining successful birth practices and outcomes.     

Emotional risk to children caught in violent marital conflict—The Basildon treatment project

This paper outlines the work of the Basildon Marital/Family Violence Project set up as a result of two studies undertaken by the National Society for the Prevention of Cruelty to Children (N.S.P.C.C.) School of Social Work, which looked at the effect of marital violence upon the children involved. These effects were classified under the following headings: (1) the children were scapegoated; (2) used as pawns in the marital battles; (3) turned agression against themselves; (4) had relationship problems at school; (5) were physically assaulted by the parents in 25% of the cases. The project, which is now in its 4th year, has offered social work services, consultation, training courses and research. Work with the families, and particularly with the children, has further emphasised the severe emotional damage that marital violence can have upon the children. The paper optimistically reports that after intensive work using a five-point treatment programme, and direct work with the children, there has been considerable diminution of violence in many of the cases and in some cases no repetition of such violence at all. The worker's approach, it is suggested, should be characterised by optimism combined with indestructible calm, genuine empathy combined with 24-hour access, persistence in the face of lack of progress, enhancement of parents' low self-esteem, regular contact and an ability to contain destructiveness.     

Creating a Web-accessible,point-of-care,team-based information system (PoinTIS): the librarian as publisher

The Internet has created new opportunities for librarians to develop information systems that are readily accessible at the point of care. This paper describes the multiyear process used to justify, fund, design, develop, promote, and evaluate a rehabilitation prototype of a point-of-care, team-based information system (PoinTIS) and train health care providers to use this prototype for their spinal cord injury and traumatic brain injury patient care and education activities. PoinTIS is a successful model for librarians in the twenty-first century to serve as publishers of information created or used by their parent organizations and to respond to the opportunities for information dissemination provided by recent technological advances.     

Review and criticism

The network tone of voice

Mass Communication in China, John Howkins (New York: Longman, 1982).

Television and Radio in the United Kingdom, Burton Paulu (Minneapolis: University of Minnesota Press, 1981).

Mass Media and Social Change, ed. Elihu Katz and Tamas Szecsko (Beverly Hills, CA: Sage Publications Inc., 1981).

Electronic Colonialism: The Future of International Broadcasting and Communication, Thomas L. McPhail (Beverly Hills, CA.: Sage, 1981).

The First Amendment Under Seige: The Politics of Broadcast Regulation, Richard E. Labunski (Westport, Conn: Greenwood Press, 1981).